Proposition: Replacing Mutually Independent Events by Their Complements

Let \(A_1,...,A_n\) be mutually independent events. By replacing any \(A_i\) by the complement events \(\overline{A_i}\), \(1\le i\le n\), we obtain mutually independent events again.

Proofs: 1


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References

Bibliography

  1. Bosch, Karl: "Elementare Einf├╝hrung in die Wahrscheinlichkeitsrechnung", vieweg Studium, 1995, 6th Edition